Question

two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle. which congruence theorem can be used to prove that the triangles are congruent?
○ asa
○ sss
○ sas
○ hl

Explanation:

• Recall the definitions of triangle congruence theorems:
• ASA (Angle - Side - Angle) requires two angles and the included side to be congruent.
• SSS (Side - Side - Side) requires all three sides to be congruent.
• SAS (Side - Angle - Side) requires two sides and the included angle to be congruent.
• HL (Hypotenuse - Leg) is used for right - triangles, where the hypotenuse and one leg of a right - triangle are congruent to the hypotenuse and one leg of another right - triangle.
• The problem states that two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle. This matches the definition of the SAS congruence theorem.

Answer:

C. SAS